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Finding the Fourth Proportional to 350.82, 526.28 and 107.42

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Solution

The fourth proportional to 350.82, 526.28 and 107.42 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.82 : 526.28 = 107.42 : x
  2. Step 2: Convert to fraction form
    350.82/526.28 = 107.42/x
  3. Step 3: Cross multiply
    350.82x = 526.28 × 107.42
  4. Step 4: Simplify right side
    350.82x = 56,533.00
  5. Step 5: Solve for x
    x = 56,533.00/350.82
  6. Step 6: Final answer
    x = 161.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.